What is the Least Common Multiple of 70518 and 70523?

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 70518 and 70523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70518 and 70523, than apply into the LCM equation.

GCF(70518,70523) = 1
LCM(70518,70523) = ( 70518 × 70523) / 1
LCM(70518,70523) = 4973140914 / 1
LCM(70518,70523) = 4973140914

Least Common Multiple (LCM) of 70518 and 70523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70518 and 70523. First we will calculate the prime factors of 70518 and 70523.

Prime Factorization of 70518

Prime Factorization of 70523

Now multiplying the highest exponent prime factors to calculate the LCM of 70518 and 70523.

LCM(70518,70523) = 2¹ × 3¹ × 7¹ × 23¹ × 73¹ × 109¹ × 647¹
LCM(70518,70523) = 4973140914