What is the Least Common Multiple of 61152 and 61160?

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 61152 and 61160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61152 and 61160, than apply into the LCM equation.

GCF(61152,61160) = 8
LCM(61152,61160) = ( 61152 × 61160) / 8
LCM(61152,61160) = 3740056320 / 8
LCM(61152,61160) = 467507040

Least Common Multiple (LCM) of 61152 and 61160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61152 and 61160. First we will calculate the prime factors of 61152 and 61160.

Prime Factorization of 61152

Prime Factorization of 61160

Now multiplying the highest exponent prime factors to calculate the LCM of 61152 and 61160.

LCM(61152,61160) = 2⁵ × 3¹ × 7² × 13¹ × 5¹ × 11¹ × 139¹
LCM(61152,61160) = 467507040