What is the Least Common Multiple of 61140 and 61152?

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 61140 and 61152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61140 and 61152, than apply into the LCM equation.

GCF(61140,61152) = 12
LCM(61140,61152) = ( 61140 × 61152) / 12
LCM(61140,61152) = 3738833280 / 12
LCM(61140,61152) = 311569440

Least Common Multiple (LCM) of 61140 and 61152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61140 and 61152. First we will calculate the prime factors of 61140 and 61152.

Prime Factorization of 61140

Prime Factorization of 61152

Now multiplying the highest exponent prime factors to calculate the LCM of 61140 and 61152.

LCM(61140,61152) = 2⁵ × 3¹ × 5¹ × 1019¹ × 7² × 13¹
LCM(61140,61152) = 311569440