What is the Least Common Multiple of 41355 and 41370?

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 41355 and 41370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41355 and 41370, than apply into the LCM equation.

GCF(41355,41370) = 15
LCM(41355,41370) = ( 41355 × 41370) / 15
LCM(41355,41370) = 1710856350 / 15
LCM(41355,41370) = 114057090

Least Common Multiple (LCM) of 41355 and 41370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41355 and 41370. First we will calculate the prime factors of 41355 and 41370.

Prime Factorization of 41355

Prime Factorization of 41370

Now multiplying the highest exponent prime factors to calculate the LCM of 41355 and 41370.

LCM(41355,41370) = 3² × 5¹ × 919¹ × 2¹ × 7¹ × 197¹
LCM(41355,41370) = 114057090