What is the Least Common Multiple of 7419 and 7436?

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 7419 and 7436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7419 and 7436, than apply into the LCM equation.

GCF(7419,7436) = 1
LCM(7419,7436) = ( 7419 × 7436) / 1
LCM(7419,7436) = 55167684 / 1
LCM(7419,7436) = 55167684

Least Common Multiple (LCM) of 7419 and 7436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7419 and 7436. First we will calculate the prime factors of 7419 and 7436.

Prime Factorization of 7419

Prime Factorization of 7436

Now multiplying the highest exponent prime factors to calculate the LCM of 7419 and 7436.

LCM(7419,7436) = 3¹ × 2473¹ × 2² × 11¹ × 13²
LCM(7419,7436) = 55167684