What is the Least Common Multiple of 41970 and 41975?

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 41970 and 41975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41970 and 41975, than apply into the LCM equation.

GCF(41970,41975) = 5
LCM(41970,41975) = ( 41970 × 41975) / 5
LCM(41970,41975) = 1761690750 / 5
LCM(41970,41975) = 352338150

Least Common Multiple (LCM) of 41970 and 41975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41970 and 41975. First we will calculate the prime factors of 41970 and 41975.

Prime Factorization of 41970

Prime Factorization of 41975

Now multiplying the highest exponent prime factors to calculate the LCM of 41970 and 41975.

LCM(41970,41975) = 2¹ × 3¹ × 5² × 1399¹ × 23¹ × 73¹
LCM(41970,41975) = 352338150