What is the Least Common Multiple of 87638 and 87649?

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 of 87638 and 87649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87638 and 87649, than apply into the LCM equation.

GCF(87638,87649) = 1
LCM(87638,87649) = ( 87638 × 87649) / 1
LCM(87638,87649) = 7681383062 / 1
LCM(87638,87649) = 7681383062

Least Common Multiple (LCM) of 87638 and 87649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87638 and 87649. First we will calculate the prime factors of 87638 and 87649.

Prime Factorization of 87638

Prime Factorization of 87649

Now multiplying the highest exponent prime factors to calculate the LCM of 87638 and 87649.

LCM(87638,87649) = 2¹ × 29¹ × 1511¹ × 87649¹
LCM(87638,87649) = 7681383062