What is the Least Common Multiple of 27230 and 27237?

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 27230 and 27237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27230 and 27237, than apply into the LCM equation.

GCF(27230,27237) = 7
LCM(27230,27237) = ( 27230 × 27237) / 7
LCM(27230,27237) = 741663510 / 7
LCM(27230,27237) = 105951930

Least Common Multiple (LCM) of 27230 and 27237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27230 and 27237. First we will calculate the prime factors of 27230 and 27237.

Prime Factorization of 27230

Prime Factorization of 27237

Now multiplying the highest exponent prime factors to calculate the LCM of 27230 and 27237.

LCM(27230,27237) = 2¹ × 5¹ × 7¹ × 389¹ × 3¹ × 1297¹
LCM(27230,27237) = 105951930