What is the Least Common Multiple of 623 and 627?
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 623 and 627 is 390621.
LCM(623,627) = 390621
Least Common Multiple of 623 and 627 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 623 and 627, than apply into the LCM equation.
GCF(623,627) = 1
LCM(623,627) = ( 623 × 627) / 1
LCM(623,627) = 390621 / 1
LCM(623,627) = 390621
Least Common Multiple (LCM) of 623 and 627 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 623 and 627. First we will calculate the prime factors of 623 and 627.
Prime Factorization of 623
Prime factors of 623 are 7, 89. Prime factorization of 623 in exponential form is:
623 = 71 × 891
Prime Factorization of 627
Prime factors of 627 are 3, 11, 19. Prime factorization of 627 in exponential form is:
627 = 31 × 111 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 623 and 627.
LCM(623,627) = 71 × 891 × 31 × 111 × 191
LCM(623,627) = 390621
Related Least Common Multiples of 623
- LCM of 623 and 627
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- LCM of 623 and 634
- LCM of 623 and 635
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- LCM of 623 and 639
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Related Least Common Multiples of 627
- LCM of 627 and 631
- LCM of 627 and 632
- LCM of 627 and 633
- LCM of 627 and 634
- LCM of 627 and 635
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- LCM of 627 and 637
- LCM of 627 and 638
- LCM of 627 and 639
- LCM of 627 and 640
- LCM of 627 and 641
- LCM of 627 and 642
- LCM of 627 and 643
- LCM of 627 and 644
- LCM of 627 and 645
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