What is the Least Common Multiple of 50680 and 50690?

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 50680 and 50690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50680 and 50690, than apply into the LCM equation.

GCF(50680,50690) = 10
LCM(50680,50690) = ( 50680 × 50690) / 10
LCM(50680,50690) = 2568969200 / 10
LCM(50680,50690) = 256896920

Least Common Multiple (LCM) of 50680 and 50690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50680 and 50690. First we will calculate the prime factors of 50680 and 50690.

Prime Factorization of 50680

Prime Factorization of 50690

Now multiplying the highest exponent prime factors to calculate the LCM of 50680 and 50690.

LCM(50680,50690) = 2³ × 5¹ × 7¹ × 181¹ × 37¹ × 137¹
LCM(50680,50690) = 256896920