What is the Least Common Multiple of 36998 and 37016?

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 36998 and 37016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36998 and 37016, than apply into the LCM equation.

GCF(36998,37016) = 2
LCM(36998,37016) = ( 36998 × 37016) / 2
LCM(36998,37016) = 1369517968 / 2
LCM(36998,37016) = 684758984

Least Common Multiple (LCM) of 36998 and 37016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36998 and 37016. First we will calculate the prime factors of 36998 and 37016.

Prime Factorization of 36998

Prime Factorization of 37016

Now multiplying the highest exponent prime factors to calculate the LCM of 36998 and 37016.

LCM(36998,37016) = 2³ × 13¹ × 1423¹ × 7¹ × 661¹
LCM(36998,37016) = 684758984