What is the Least Common Multiple of 51101 and 51120?

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 51101 and 51120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51101 and 51120, than apply into the LCM equation.

GCF(51101,51120) = 1
LCM(51101,51120) = ( 51101 × 51120) / 1
LCM(51101,51120) = 2612283120 / 1
LCM(51101,51120) = 2612283120

Least Common Multiple (LCM) of 51101 and 51120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51101 and 51120. First we will calculate the prime factors of 51101 and 51120.

Prime Factorization of 51101

Prime Factorization of 51120

Now multiplying the highest exponent prime factors to calculate the LCM of 51101 and 51120.

LCM(51101,51120) = 137¹ × 373¹ × 2⁴ × 3² × 5¹ × 71¹
LCM(51101,51120) = 2612283120