What is the Least Common Multiple of 70951 and 70970?

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 70951 and 70970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70951 and 70970, than apply into the LCM equation.

GCF(70951,70970) = 1
LCM(70951,70970) = ( 70951 × 70970) / 1
LCM(70951,70970) = 5035392470 / 1
LCM(70951,70970) = 5035392470

Least Common Multiple (LCM) of 70951 and 70970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70951 and 70970. First we will calculate the prime factors of 70951 and 70970.

Prime Factorization of 70951

Prime Factorization of 70970

Now multiplying the highest exponent prime factors to calculate the LCM of 70951 and 70970.

LCM(70951,70970) = 70951¹ × 2¹ × 5¹ × 47¹ × 151¹
LCM(70951,70970) = 5035392470