What is the Least Common Multiple of 36978 and 36993?

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 36978 and 36993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36978 and 36993, than apply into the LCM equation.

GCF(36978,36993) = 3
LCM(36978,36993) = ( 36978 × 36993) / 3
LCM(36978,36993) = 1367927154 / 3
LCM(36978,36993) = 455975718

Least Common Multiple (LCM) of 36978 and 36993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36978 and 36993. First we will calculate the prime factors of 36978 and 36993.

Prime Factorization of 36978

Prime Factorization of 36993

Now multiplying the highest exponent prime factors to calculate the LCM of 36978 and 36993.

LCM(36978,36993) = 2¹ × 3¹ × 6163¹ × 11¹ × 19¹ × 59¹
LCM(36978,36993) = 455975718