What is the Least Common Multiple of 70478 and 70497?

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 70478 and 70497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70478 and 70497, than apply into the LCM equation.

GCF(70478,70497) = 1
LCM(70478,70497) = ( 70478 × 70497) / 1
LCM(70478,70497) = 4968487566 / 1
LCM(70478,70497) = 4968487566

Least Common Multiple (LCM) of 70478 and 70497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70478 and 70497. First we will calculate the prime factors of 70478 and 70497.

Prime Factorization of 70478

Prime Factorization of 70497

Now multiplying the highest exponent prime factors to calculate the LCM of 70478 and 70497.

LCM(70478,70497) = 2¹ × 131¹ × 269¹ × 3³ × 7¹ × 373¹
LCM(70478,70497) = 4968487566