What is the Least Common Multiple of 49092 and 49102?

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 49092 and 49102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49092 and 49102, than apply into the LCM equation.

GCF(49092,49102) = 2
LCM(49092,49102) = ( 49092 × 49102) / 2
LCM(49092,49102) = 2410515384 / 2
LCM(49092,49102) = 1205257692

Least Common Multiple (LCM) of 49092 and 49102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49092 and 49102. First we will calculate the prime factors of 49092 and 49102.

Prime Factorization of 49092

Prime Factorization of 49102

Now multiplying the highest exponent prime factors to calculate the LCM of 49092 and 49102.

LCM(49092,49102) = 2² × 3¹ × 4091¹ × 24551¹
LCM(49092,49102) = 1205257692