What is the Least Common Multiple of 69965 and 69972?

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 69965 and 69972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69965 and 69972, than apply into the LCM equation.

GCF(69965,69972) = 7
LCM(69965,69972) = ( 69965 × 69972) / 7
LCM(69965,69972) = 4895590980 / 7
LCM(69965,69972) = 699370140

Least Common Multiple (LCM) of 69965 and 69972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69965 and 69972. First we will calculate the prime factors of 69965 and 69972.

Prime Factorization of 69965

Prime Factorization of 69972

Now multiplying the highest exponent prime factors to calculate the LCM of 69965 and 69972.

LCM(69965,69972) = 5¹ × 7³ × 1999¹ × 2² × 3¹ × 17¹
LCM(69965,69972) = 699370140