What is the Least Common Multiple of 70278 and 70287?

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 70278 and 70287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70278 and 70287, than apply into the LCM equation.

GCF(70278,70287) = 3
LCM(70278,70287) = ( 70278 × 70287) / 3
LCM(70278,70287) = 4939629786 / 3
LCM(70278,70287) = 1646543262

Least Common Multiple (LCM) of 70278 and 70287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70278 and 70287. First we will calculate the prime factors of 70278 and 70287.

Prime Factorization of 70278

Prime Factorization of 70287

Now multiplying the highest exponent prime factors to calculate the LCM of 70278 and 70287.

LCM(70278,70287) = 2¹ × 3¹ × 13¹ × 17¹ × 53¹ × 7¹ × 3347¹
LCM(70278,70287) = 1646543262