What is the Least Common Multiple of 64514 and 64534?

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 64514 and 64534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64514 and 64534, than apply into the LCM equation.

GCF(64514,64534) = 2
LCM(64514,64534) = ( 64514 × 64534) / 2
LCM(64514,64534) = 4163346476 / 2
LCM(64514,64534) = 2081673238

Least Common Multiple (LCM) of 64514 and 64534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64514 and 64534. First we will calculate the prime factors of 64514 and 64534.

Prime Factorization of 64514

Prime Factorization of 64534

Now multiplying the highest exponent prime factors to calculate the LCM of 64514 and 64534.

LCM(64514,64534) = 2¹ × 32257¹ × 41¹ × 787¹
LCM(64514,64534) = 2081673238