What is the Least Common Multiple of 45906 and 45919?

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 45906 and 45919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45906 and 45919, than apply into the LCM equation.

GCF(45906,45919) = 1
LCM(45906,45919) = ( 45906 × 45919) / 1
LCM(45906,45919) = 2107957614 / 1
LCM(45906,45919) = 2107957614

Least Common Multiple (LCM) of 45906 and 45919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45906 and 45919. First we will calculate the prime factors of 45906 and 45919.

Prime Factorization of 45906

Prime Factorization of 45919

Now multiplying the highest exponent prime factors to calculate the LCM of 45906 and 45919.

LCM(45906,45919) = 2¹ × 3¹ × 7¹ × 1093¹ × 47¹ × 977¹
LCM(45906,45919) = 2107957614