What is the Least Common Multiple of 61672 and 61685?

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 61672 and 61685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61672 and 61685, than apply into the LCM equation.

GCF(61672,61685) = 13
LCM(61672,61685) = ( 61672 × 61685) / 13
LCM(61672,61685) = 3804237320 / 13
LCM(61672,61685) = 292633640

Least Common Multiple (LCM) of 61672 and 61685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61672 and 61685. First we will calculate the prime factors of 61672 and 61685.

Prime Factorization of 61672

Prime Factorization of 61685

Now multiplying the highest exponent prime factors to calculate the LCM of 61672 and 61685.

LCM(61672,61685) = 2³ × 13² × 593¹ × 5¹ × 73¹
LCM(61672,61685) = 292633640