What is the Least Common Multiple of 37190 and 37204?

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 37190 and 37204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37190 and 37204, than apply into the LCM equation.

GCF(37190,37204) = 2
LCM(37190,37204) = ( 37190 × 37204) / 2
LCM(37190,37204) = 1383616760 / 2
LCM(37190,37204) = 691808380

Least Common Multiple (LCM) of 37190 and 37204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37190 and 37204. First we will calculate the prime factors of 37190 and 37204.

Prime Factorization of 37190

Prime Factorization of 37204

Now multiplying the highest exponent prime factors to calculate the LCM of 37190 and 37204.

LCM(37190,37204) = 2² × 5¹ × 3719¹ × 71¹ × 131¹
LCM(37190,37204) = 691808380