What is the Least Common Multiple of 68564 and 68572?

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 68564 and 68572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68564 and 68572, than apply into the LCM equation.

GCF(68564,68572) = 4
LCM(68564,68572) = ( 68564 × 68572) / 4
LCM(68564,68572) = 4701570608 / 4
LCM(68564,68572) = 1175392652

Least Common Multiple (LCM) of 68564 and 68572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68564 and 68572. First we will calculate the prime factors of 68564 and 68572.

Prime Factorization of 68564

Prime Factorization of 68572

Now multiplying the highest exponent prime factors to calculate the LCM of 68564 and 68572.

LCM(68564,68572) = 2² × 61¹ × 281¹ × 7¹ × 31¹ × 79¹
LCM(68564,68572) = 1175392652