What is the Least Common Multiple of 85478 and 85490?

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 85478 and 85490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85478 and 85490, than apply into the LCM equation.

GCF(85478,85490) = 2
LCM(85478,85490) = ( 85478 × 85490) / 2
LCM(85478,85490) = 7307514220 / 2
LCM(85478,85490) = 3653757110

Least Common Multiple (LCM) of 85478 and 85490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85478 and 85490. First we will calculate the prime factors of 85478 and 85490.

Prime Factorization of 85478

Prime Factorization of 85490

Now multiplying the highest exponent prime factors to calculate the LCM of 85478 and 85490.

LCM(85478,85490) = 2¹ × 79¹ × 541¹ × 5¹ × 83¹ × 103¹
LCM(85478,85490) = 3653757110