What is the Least Common Multiple of 37279 and 37288?

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 37279 and 37288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37279 and 37288, than apply into the LCM equation.

GCF(37279,37288) = 1
LCM(37279,37288) = ( 37279 × 37288) / 1
LCM(37279,37288) = 1390059352 / 1
LCM(37279,37288) = 1390059352

Least Common Multiple (LCM) of 37279 and 37288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37279 and 37288. First we will calculate the prime factors of 37279 and 37288.

Prime Factorization of 37279

Prime Factorization of 37288

Now multiplying the highest exponent prime factors to calculate the LCM of 37279 and 37288.

LCM(37279,37288) = 11¹ × 3389¹ × 2³ × 59¹ × 79¹
LCM(37279,37288) = 1390059352