What is the Least Common Multiple of 61564 and 61573?

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 61564 and 61573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61564 and 61573, than apply into the LCM equation.

GCF(61564,61573) = 1
LCM(61564,61573) = ( 61564 × 61573) / 1
LCM(61564,61573) = 3790680172 / 1
LCM(61564,61573) = 3790680172

Least Common Multiple (LCM) of 61564 and 61573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61564 and 61573. First we will calculate the prime factors of 61564 and 61573.

Prime Factorization of 61564

Prime Factorization of 61573

Now multiplying the highest exponent prime factors to calculate the LCM of 61564 and 61573.

LCM(61564,61573) = 2² × 15391¹ × 67¹ × 919¹
LCM(61564,61573) = 3790680172