What is the Least Common Multiple of 37419 and 37436?

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 37419 and 37436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37419 and 37436, than apply into the LCM equation.

GCF(37419,37436) = 1
LCM(37419,37436) = ( 37419 × 37436) / 1
LCM(37419,37436) = 1400817684 / 1
LCM(37419,37436) = 1400817684

Least Common Multiple (LCM) of 37419 and 37436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37419 and 37436. First we will calculate the prime factors of 37419 and 37436.

Prime Factorization of 37419

Prime Factorization of 37436

Now multiplying the highest exponent prime factors to calculate the LCM of 37419 and 37436.

LCM(37419,37436) = 3¹ × 12473¹ × 2² × 7² × 191¹
LCM(37419,37436) = 1400817684