What is the Least Common Multiple of 61714 and 61724?

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 61714 and 61724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61714 and 61724, than apply into the LCM equation.

GCF(61714,61724) = 2
LCM(61714,61724) = ( 61714 × 61724) / 2
LCM(61714,61724) = 3809234936 / 2
LCM(61714,61724) = 1904617468

Least Common Multiple (LCM) of 61714 and 61724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61714 and 61724. First we will calculate the prime factors of 61714 and 61724.

Prime Factorization of 61714

Prime Factorization of 61724

Now multiplying the highest exponent prime factors to calculate the LCM of 61714 and 61724.

LCM(61714,61724) = 2² × 59¹ × 523¹ × 13¹ × 1187¹
LCM(61714,61724) = 1904617468