What is the Least Common Multiple of 43674 and 43680?

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 43674 and 43680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43674 and 43680, than apply into the LCM equation.

GCF(43674,43680) = 6
LCM(43674,43680) = ( 43674 × 43680) / 6
LCM(43674,43680) = 1907680320 / 6
LCM(43674,43680) = 317946720

Least Common Multiple (LCM) of 43674 and 43680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43674 and 43680. First we will calculate the prime factors of 43674 and 43680.

Prime Factorization of 43674

Prime Factorization of 43680

Now multiplying the highest exponent prime factors to calculate the LCM of 43674 and 43680.

LCM(43674,43680) = 2⁵ × 3¹ × 29¹ × 251¹ × 5¹ × 7¹ × 13¹
LCM(43674,43680) = 317946720