What is the Least Common Multiple of 64509 and 64518?

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 64509 and 64518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64509 and 64518, than apply into the LCM equation.

GCF(64509,64518) = 3
LCM(64509,64518) = ( 64509 × 64518) / 3
LCM(64509,64518) = 4161991662 / 3
LCM(64509,64518) = 1387330554

Least Common Multiple (LCM) of 64509 and 64518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64509 and 64518. First we will calculate the prime factors of 64509 and 64518.

Prime Factorization of 64509

Prime Factorization of 64518

Now multiplying the highest exponent prime factors to calculate the LCM of 64509 and 64518.

LCM(64509,64518) = 3¹ × 21503¹ × 2¹ × 10753¹
LCM(64509,64518) = 1387330554