What is the Least Common Multiple of 608 and 617?
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 608 and 617 is 375136.
LCM(608,617) = 375136
Least Common Multiple of 608 and 617 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 608 and 617, than apply into the LCM equation.
GCF(608,617) = 1
LCM(608,617) = ( 608 × 617) / 1
LCM(608,617) = 375136 / 1
LCM(608,617) = 375136
Least Common Multiple (LCM) of 608 and 617 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 608 and 617. First we will calculate the prime factors of 608 and 617.
Prime Factorization of 608
Prime factors of 608 are 2, 19. Prime factorization of 608 in exponential form is:
608 = 25 × 191
Prime Factorization of 617
Prime factors of 617 are 617. Prime factorization of 617 in exponential form is:
617 = 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 608 and 617.
LCM(608,617) = 25 × 191 × 6171
LCM(608,617) = 375136
Related Least Common Multiples of 608
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Related Least Common Multiples of 617
- LCM of 617 and 621
- LCM of 617 and 622
- LCM of 617 and 623
- LCM of 617 and 624
- LCM of 617 and 625
- LCM of 617 and 626
- LCM of 617 and 627
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