What is the Least Common Multiple of 90514 and 90518?

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 90514 and 90518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90514 and 90518, than apply into the LCM equation.

GCF(90514,90518) = 2
LCM(90514,90518) = ( 90514 × 90518) / 2
LCM(90514,90518) = 8193146252 / 2
LCM(90514,90518) = 4096573126

Least Common Multiple (LCM) of 90514 and 90518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90514 and 90518. First we will calculate the prime factors of 90514 and 90518.

Prime Factorization of 90514

Prime Factorization of 90518

Now multiplying the highest exponent prime factors to calculate the LCM of 90514 and 90518.

LCM(90514,90518) = 2¹ × 167¹ × 271¹ × 45259¹
LCM(90514,90518) = 4096573126