What is the Least Common Multiple of 71920 and 71938?

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 71920 and 71938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71920 and 71938, than apply into the LCM equation.

GCF(71920,71938) = 2
LCM(71920,71938) = ( 71920 × 71938) / 2
LCM(71920,71938) = 5173780960 / 2
LCM(71920,71938) = 2586890480

Least Common Multiple (LCM) of 71920 and 71938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71920 and 71938. First we will calculate the prime factors of 71920 and 71938.

Prime Factorization of 71920

Prime Factorization of 71938

Now multiplying the highest exponent prime factors to calculate the LCM of 71920 and 71938.

LCM(71920,71938) = 2⁴ × 5¹ × 29¹ × 31¹ × 35969¹
LCM(71920,71938) = 2586890480