What is the Least Common Multiple of 41712 and 41730?

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 41712 and 41730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41712 and 41730, than apply into the LCM equation.

GCF(41712,41730) = 6
LCM(41712,41730) = ( 41712 × 41730) / 6
LCM(41712,41730) = 1740641760 / 6
LCM(41712,41730) = 290106960

Least Common Multiple (LCM) of 41712 and 41730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41712 and 41730. First we will calculate the prime factors of 41712 and 41730.

Prime Factorization of 41712

Prime Factorization of 41730

Now multiplying the highest exponent prime factors to calculate the LCM of 41712 and 41730.

LCM(41712,41730) = 2⁴ × 3¹ × 11¹ × 79¹ × 5¹ × 13¹ × 107¹
LCM(41712,41730) = 290106960