What is the Least Common Multiple of 55292 and 55302?

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 55292 and 55302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55292 and 55302, than apply into the LCM equation.

GCF(55292,55302) = 2
LCM(55292,55302) = ( 55292 × 55302) / 2
LCM(55292,55302) = 3057758184 / 2
LCM(55292,55302) = 1528879092

Least Common Multiple (LCM) of 55292 and 55302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55292 and 55302. First we will calculate the prime factors of 55292 and 55302.

Prime Factorization of 55292

Prime Factorization of 55302

Now multiplying the highest exponent prime factors to calculate the LCM of 55292 and 55302.

LCM(55292,55302) = 2² × 23¹ × 601¹ × 3¹ × 13¹ × 709¹
LCM(55292,55302) = 1528879092