What is the Least Common Multiple of 56074 and 56080?

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 56074 and 56080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56074 and 56080, than apply into the LCM equation.

GCF(56074,56080) = 2
LCM(56074,56080) = ( 56074 × 56080) / 2
LCM(56074,56080) = 3144629920 / 2
LCM(56074,56080) = 1572314960

Least Common Multiple (LCM) of 56074 and 56080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56074 and 56080. First we will calculate the prime factors of 56074 and 56080.

Prime Factorization of 56074

Prime Factorization of 56080

Now multiplying the highest exponent prime factors to calculate the LCM of 56074 and 56080.

LCM(56074,56080) = 2⁴ × 23² × 53¹ × 5¹ × 701¹
LCM(56074,56080) = 1572314960