What is the Least Common Multiple of 41235 and 41252?

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 41235 and 41252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41235 and 41252, than apply into the LCM equation.

GCF(41235,41252) = 1
LCM(41235,41252) = ( 41235 × 41252) / 1
LCM(41235,41252) = 1701026220 / 1
LCM(41235,41252) = 1701026220

Least Common Multiple (LCM) of 41235 and 41252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41235 and 41252. First we will calculate the prime factors of 41235 and 41252.

Prime Factorization of 41235

Prime Factorization of 41252

Now multiplying the highest exponent prime factors to calculate the LCM of 41235 and 41252.

LCM(41235,41252) = 3¹ × 5¹ × 2749¹ × 2² × 10313¹
LCM(41235,41252) = 1701026220