What is the Least Common Multiple of 61076 and 61089?

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 61076 and 61089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61076 and 61089, than apply into the LCM equation.

GCF(61076,61089) = 1
LCM(61076,61089) = ( 61076 × 61089) / 1
LCM(61076,61089) = 3731071764 / 1
LCM(61076,61089) = 3731071764

Least Common Multiple (LCM) of 61076 and 61089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61076 and 61089. First we will calculate the prime factors of 61076 and 61089.

Prime Factorization of 61076

Prime Factorization of 61089

Now multiplying the highest exponent prime factors to calculate the LCM of 61076 and 61089.

LCM(61076,61089) = 2² × 15269¹ × 3¹ × 7¹ × 2909¹
LCM(61076,61089) = 3731071764