What is the Least Common Multiple of 27478 and 27490?

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 27478 and 27490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27478 and 27490, than apply into the LCM equation.

GCF(27478,27490) = 2
LCM(27478,27490) = ( 27478 × 27490) / 2
LCM(27478,27490) = 755370220 / 2
LCM(27478,27490) = 377685110

Least Common Multiple (LCM) of 27478 and 27490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27478 and 27490. First we will calculate the prime factors of 27478 and 27490.

Prime Factorization of 27478

Prime Factorization of 27490

Now multiplying the highest exponent prime factors to calculate the LCM of 27478 and 27490.

LCM(27478,27490) = 2¹ × 11¹ × 1249¹ × 5¹ × 2749¹
LCM(27478,27490) = 377685110