What is the Least Common Multiple of 61692 and 61712?

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 61692 and 61712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61692 and 61712, than apply into the LCM equation.

GCF(61692,61712) = 4
LCM(61692,61712) = ( 61692 × 61712) / 4
LCM(61692,61712) = 3807136704 / 4
LCM(61692,61712) = 951784176

Least Common Multiple (LCM) of 61692 and 61712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61692 and 61712. First we will calculate the prime factors of 61692 and 61712.

Prime Factorization of 61692

Prime Factorization of 61712

Now multiplying the highest exponent prime factors to calculate the LCM of 61692 and 61712.

LCM(61692,61712) = 2⁴ × 3¹ × 53¹ × 97¹ × 7¹ × 19¹ × 29¹
LCM(61692,61712) = 951784176