What is the Least Common Multiple of 617 and 624?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 617 and 624 is 385008.
LCM(617,624) = 385008
Least Common Multiple of 617 and 624 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 617 and 624, than apply into the LCM equation.
GCF(617,624) = 1
LCM(617,624) = ( 617 × 624) / 1
LCM(617,624) = 385008 / 1
LCM(617,624) = 385008
Least Common Multiple (LCM) of 617 and 624 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 617 and 624. First we will calculate the prime factors of 617 and 624.
Prime Factorization of 617
Prime factors of 617 are 617. Prime factorization of 617 in exponential form is:
617 = 6171
Prime Factorization of 624
Prime factors of 624 are 2, 3, 13. Prime factorization of 624 in exponential form is:
624 = 24 × 31 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 617 and 624.
LCM(617,624) = 6171 × 24 × 31 × 131
LCM(617,624) = 385008
Related Least Common Multiples of 617
- LCM of 617 and 621
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- LCM of 617 and 624
- LCM of 617 and 625
- LCM of 617 and 626
- LCM of 617 and 627
- LCM of 617 and 628
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- LCM of 617 and 631
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- LCM of 617 and 634
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Related Least Common Multiples of 624
- LCM of 624 and 628
- LCM of 624 and 629
- LCM of 624 and 630
- LCM of 624 and 631
- LCM of 624 and 632
- LCM of 624 and 633
- LCM of 624 and 634
- LCM of 624 and 635
- LCM of 624 and 636
- LCM of 624 and 637
- LCM of 624 and 638
- LCM of 624 and 639
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- LCM of 624 and 642
- LCM of 624 and 643
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