What is the Least Common Multiple of 61491 and 61499?

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 61491 and 61499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61491 and 61499, than apply into the LCM equation.

GCF(61491,61499) = 1
LCM(61491,61499) = ( 61491 × 61499) / 1
LCM(61491,61499) = 3781635009 / 1
LCM(61491,61499) = 3781635009

Least Common Multiple (LCM) of 61491 and 61499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61491 and 61499. First we will calculate the prime factors of 61491 and 61499.

Prime Factorization of 61491

Prime Factorization of 61499

Now multiplying the highest exponent prime factors to calculate the LCM of 61491 and 61499.

LCM(61491,61499) = 3¹ × 103¹ × 199¹ × 89¹ × 691¹
LCM(61491,61499) = 3781635009