What is the Least Common Multiple of 56355 and 56374?

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 56355 and 56374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56355 and 56374, than apply into the LCM equation.

GCF(56355,56374) = 1
LCM(56355,56374) = ( 56355 × 56374) / 1
LCM(56355,56374) = 3176956770 / 1
LCM(56355,56374) = 3176956770

Least Common Multiple (LCM) of 56355 and 56374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56355 and 56374. First we will calculate the prime factors of 56355 and 56374.

Prime Factorization of 56355

Prime Factorization of 56374

Now multiplying the highest exponent prime factors to calculate the LCM of 56355 and 56374.

LCM(56355,56374) = 3¹ × 5¹ × 13¹ × 17² × 2¹ × 71¹ × 397¹
LCM(56355,56374) = 3176956770