What is the Least Common Multiple of 37254 and 37263?

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 37254 and 37263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37254 and 37263, than apply into the LCM equation.

GCF(37254,37263) = 3
LCM(37254,37263) = ( 37254 × 37263) / 3
LCM(37254,37263) = 1388195802 / 3
LCM(37254,37263) = 462731934

Least Common Multiple (LCM) of 37254 and 37263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37254 and 37263. First we will calculate the prime factors of 37254 and 37263.

Prime Factorization of 37254

Prime Factorization of 37263

Now multiplying the highest exponent prime factors to calculate the LCM of 37254 and 37263.

LCM(37254,37263) = 2¹ × 3¹ × 7¹ × 887¹ × 12421¹
LCM(37254,37263) = 462731934