What is the Least Common Multiple of 50352 and 50362?

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 50352 and 50362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50352 and 50362, than apply into the LCM equation.

GCF(50352,50362) = 2
LCM(50352,50362) = ( 50352 × 50362) / 2
LCM(50352,50362) = 2535827424 / 2
LCM(50352,50362) = 1267913712

Least Common Multiple (LCM) of 50352 and 50362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50352 and 50362. First we will calculate the prime factors of 50352 and 50362.

Prime Factorization of 50352

Prime Factorization of 50362

Now multiplying the highest exponent prime factors to calculate the LCM of 50352 and 50362.

LCM(50352,50362) = 2⁴ × 3¹ × 1049¹ × 13² × 149¹
LCM(50352,50362) = 1267913712