What is the Least Common Multiple of 50355 and 50364?

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 50355 and 50364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50355 and 50364, than apply into the LCM equation.

GCF(50355,50364) = 9
LCM(50355,50364) = ( 50355 × 50364) / 9
LCM(50355,50364) = 2536079220 / 9
LCM(50355,50364) = 281786580

Least Common Multiple (LCM) of 50355 and 50364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50355 and 50364. First we will calculate the prime factors of 50355 and 50364.

Prime Factorization of 50355

Prime Factorization of 50364

Now multiplying the highest exponent prime factors to calculate the LCM of 50355 and 50364.

LCM(50355,50364) = 3³ × 5¹ × 373¹ × 2² × 1399¹
LCM(50355,50364) = 281786580