What is the Least Common Multiple of 41460 and 41469?

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 41460 and 41469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41460 and 41469, than apply into the LCM equation.

GCF(41460,41469) = 3
LCM(41460,41469) = ( 41460 × 41469) / 3
LCM(41460,41469) = 1719304740 / 3
LCM(41460,41469) = 573101580

Least Common Multiple (LCM) of 41460 and 41469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41460 and 41469. First we will calculate the prime factors of 41460 and 41469.

Prime Factorization of 41460

Prime Factorization of 41469

Now multiplying the highest exponent prime factors to calculate the LCM of 41460 and 41469.

LCM(41460,41469) = 2² × 3¹ × 5¹ × 691¹ × 23¹ × 601¹
LCM(41460,41469) = 573101580