What is the Least Common Multiple of 50520 and 50540?

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 50520 and 50540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50520 and 50540, than apply into the LCM equation.

GCF(50520,50540) = 20
LCM(50520,50540) = ( 50520 × 50540) / 20
LCM(50520,50540) = 2553280800 / 20
LCM(50520,50540) = 127664040

Least Common Multiple (LCM) of 50520 and 50540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50520 and 50540. First we will calculate the prime factors of 50520 and 50540.

Prime Factorization of 50520

Prime Factorization of 50540

Now multiplying the highest exponent prime factors to calculate the LCM of 50520 and 50540.

LCM(50520,50540) = 2³ × 3¹ × 5¹ × 421¹ × 7¹ × 19²
LCM(50520,50540) = 127664040