What is the Least Common Multiple of 41430 and 41435?

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 41430 and 41435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41430 and 41435, than apply into the LCM equation.

GCF(41430,41435) = 5
LCM(41430,41435) = ( 41430 × 41435) / 5
LCM(41430,41435) = 1716652050 / 5
LCM(41430,41435) = 343330410

Least Common Multiple (LCM) of 41430 and 41435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41430 and 41435. First we will calculate the prime factors of 41430 and 41435.

Prime Factorization of 41430

Prime Factorization of 41435

Now multiplying the highest exponent prime factors to calculate the LCM of 41430 and 41435.

LCM(41430,41435) = 2¹ × 3¹ × 5¹ × 1381¹ × 8287¹
LCM(41430,41435) = 343330410