What is the Least Common Multiple of 36912 and 36919?

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 36912 and 36919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36912 and 36919, than apply into the LCM equation.

GCF(36912,36919) = 1
LCM(36912,36919) = ( 36912 × 36919) / 1
LCM(36912,36919) = 1362754128 / 1
LCM(36912,36919) = 1362754128

Least Common Multiple (LCM) of 36912 and 36919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36912 and 36919. First we will calculate the prime factors of 36912 and 36919.

Prime Factorization of 36912

Prime Factorization of 36919

Now multiplying the highest exponent prime factors to calculate the LCM of 36912 and 36919.

LCM(36912,36919) = 2⁴ × 3¹ × 769¹ × 36919¹
LCM(36912,36919) = 1362754128