What is the Least Common Multiple of 41970 and 41988?

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 41988 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 41988, than apply into the LCM equation.

GCF(41970,41988) = 6
LCM(41970,41988) = ( 41970 × 41988) / 6
LCM(41970,41988) = 1762236360 / 6
LCM(41970,41988) = 293706060

Least Common Multiple (LCM) of 41970 and 41988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41970 and 41988. First we will calculate the prime factors of 41970 and 41988.

Prime Factorization of 41970

Prime Factorization of 41988

Now multiplying the highest exponent prime factors to calculate the LCM of 41970 and 41988.

LCM(41970,41988) = 2² × 3¹ × 5¹ × 1399¹ × 3499¹
LCM(41970,41988) = 293706060