What is the Least Common Multiple of 70950 and 70966?

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 70950 and 70966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70950 and 70966, than apply into the LCM equation.

GCF(70950,70966) = 2
LCM(70950,70966) = ( 70950 × 70966) / 2
LCM(70950,70966) = 5035037700 / 2
LCM(70950,70966) = 2517518850

Least Common Multiple (LCM) of 70950 and 70966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70950 and 70966. First we will calculate the prime factors of 70950 and 70966.

Prime Factorization of 70950

Prime Factorization of 70966

Now multiplying the highest exponent prime factors to calculate the LCM of 70950 and 70966.

LCM(70950,70966) = 2¹ × 3¹ × 5² × 11¹ × 43¹ × 7¹ × 37¹ × 137¹
LCM(70950,70966) = 2517518850