What is the Least Common Multiple of 61393 and 61411?

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 61393 and 61411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61393 and 61411, than apply into the LCM equation.

GCF(61393,61411) = 1
LCM(61393,61411) = ( 61393 × 61411) / 1
LCM(61393,61411) = 3770205523 / 1
LCM(61393,61411) = 3770205523

Least Common Multiple (LCM) of 61393 and 61411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61393 and 61411. First we will calculate the prime factors of 61393 and 61411.

Prime Factorization of 61393

Prime Factorization of 61411

Now multiplying the highest exponent prime factors to calculate the LCM of 61393 and 61411.

LCM(61393,61411) = 29² × 73¹ × 7¹ × 31¹ × 283¹
LCM(61393,61411) = 3770205523