What is the Least Common Multiple of 70950 and 70965?

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 70965 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 70965, than apply into the LCM equation.

GCF(70950,70965) = 15
LCM(70950,70965) = ( 70950 × 70965) / 15
LCM(70950,70965) = 5034966750 / 15
LCM(70950,70965) = 335664450

Least Common Multiple (LCM) of 70950 and 70965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70950 and 70965. First we will calculate the prime factors of 70950 and 70965.

Prime Factorization of 70950

Prime Factorization of 70965

Now multiplying the highest exponent prime factors to calculate the LCM of 70950 and 70965.

LCM(70950,70965) = 2¹ × 3² × 5² × 11¹ × 43¹ × 19¹ × 83¹
LCM(70950,70965) = 335664450