What is the Least Common Multiple of 27654 and 27670?

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 27654 and 27670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27654 and 27670, than apply into the LCM equation.

GCF(27654,27670) = 2
LCM(27654,27670) = ( 27654 × 27670) / 2
LCM(27654,27670) = 765186180 / 2
LCM(27654,27670) = 382593090

Least Common Multiple (LCM) of 27654 and 27670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27654 and 27670. First we will calculate the prime factors of 27654 and 27670.

Prime Factorization of 27654

Prime Factorization of 27670

Now multiplying the highest exponent prime factors to calculate the LCM of 27654 and 27670.

LCM(27654,27670) = 2¹ × 3¹ × 11¹ × 419¹ × 5¹ × 2767¹
LCM(27654,27670) = 382593090