What is the Least Common Multiple of 56905 and 56915?

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 56905 and 56915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56905 and 56915, than apply into the LCM equation.

GCF(56905,56915) = 5
LCM(56905,56915) = ( 56905 × 56915) / 5
LCM(56905,56915) = 3238748075 / 5
LCM(56905,56915) = 647749615

Least Common Multiple (LCM) of 56905 and 56915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56905 and 56915. First we will calculate the prime factors of 56905 and 56915.

Prime Factorization of 56905

Prime Factorization of 56915

Now multiplying the highest exponent prime factors to calculate the LCM of 56905 and 56915.

LCM(56905,56915) = 5¹ × 19¹ × 599¹ × 11383¹
LCM(56905,56915) = 647749615