What is the Least Common Multiple of 41420 and 41436?

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 41420 and 41436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41420 and 41436, than apply into the LCM equation.

GCF(41420,41436) = 4
LCM(41420,41436) = ( 41420 × 41436) / 4
LCM(41420,41436) = 1716279120 / 4
LCM(41420,41436) = 429069780

Least Common Multiple (LCM) of 41420 and 41436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41420 and 41436. First we will calculate the prime factors of 41420 and 41436.

Prime Factorization of 41420

Prime Factorization of 41436

Now multiplying the highest exponent prime factors to calculate the LCM of 41420 and 41436.

LCM(41420,41436) = 2² × 5¹ × 19¹ × 109¹ × 3² × 1151¹
LCM(41420,41436) = 429069780