What is the Least Common Multiple of 5092 and 5101?

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 5092 and 5101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5092 and 5101, than apply into the LCM equation.

GCF(5092,5101) = 1
LCM(5092,5101) = ( 5092 × 5101) / 1
LCM(5092,5101) = 25974292 / 1
LCM(5092,5101) = 25974292

Least Common Multiple (LCM) of 5092 and 5101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5092 and 5101. First we will calculate the prime factors of 5092 and 5101.

Prime Factorization of 5092

Prime Factorization of 5101

Now multiplying the highest exponent prime factors to calculate the LCM of 5092 and 5101.

LCM(5092,5101) = 2² × 19¹ × 67¹ × 5101¹
LCM(5092,5101) = 25974292