What is the Least Common Multiple of 61572 and 61586?

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 61572 and 61586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61572 and 61586, than apply into the LCM equation.

GCF(61572,61586) = 14
LCM(61572,61586) = ( 61572 × 61586) / 14
LCM(61572,61586) = 3791973192 / 14
LCM(61572,61586) = 270855228

Least Common Multiple (LCM) of 61572 and 61586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61572 and 61586. First we will calculate the prime factors of 61572 and 61586.

Prime Factorization of 61572

Prime Factorization of 61586

Now multiplying the highest exponent prime factors to calculate the LCM of 61572 and 61586.

LCM(61572,61586) = 2² × 3¹ × 7¹ × 733¹ × 53¹ × 83¹
LCM(61572,61586) = 270855228