What is the Least Common Multiple of 61431 and 61451?

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 61431 and 61451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61431 and 61451, than apply into the LCM equation.

GCF(61431,61451) = 1
LCM(61431,61451) = ( 61431 × 61451) / 1
LCM(61431,61451) = 3774996381 / 1
LCM(61431,61451) = 3774996381

Least Common Multiple (LCM) of 61431 and 61451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61431 and 61451. First we will calculate the prime factors of 61431 and 61451.

Prime Factorization of 61431

Prime Factorization of 61451

Now multiplying the highest exponent prime factors to calculate the LCM of 61431 and 61451.

LCM(61431,61451) = 3¹ × 20477¹ × 13¹ × 29¹ × 163¹
LCM(61431,61451) = 3774996381