What is the Least Common Multiple of 50180 and 50192?

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 50180 and 50192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50180 and 50192, than apply into the LCM equation.

GCF(50180,50192) = 4
LCM(50180,50192) = ( 50180 × 50192) / 4
LCM(50180,50192) = 2518634560 / 4
LCM(50180,50192) = 629658640

Least Common Multiple (LCM) of 50180 and 50192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50180 and 50192. First we will calculate the prime factors of 50180 and 50192.

Prime Factorization of 50180

Prime Factorization of 50192

Now multiplying the highest exponent prime factors to calculate the LCM of 50180 and 50192.

LCM(50180,50192) = 2⁴ × 5¹ × 13¹ × 193¹ × 3137¹
LCM(50180,50192) = 629658640