What is the Least Common Multiple of 69968 and 69974?

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 69968 and 69974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69968 and 69974, than apply into the LCM equation.

GCF(69968,69974) = 2
LCM(69968,69974) = ( 69968 × 69974) / 2
LCM(69968,69974) = 4895940832 / 2
LCM(69968,69974) = 2447970416

Least Common Multiple (LCM) of 69968 and 69974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69968 and 69974. First we will calculate the prime factors of 69968 and 69974.

Prime Factorization of 69968

Prime Factorization of 69974

Now multiplying the highest exponent prime factors to calculate the LCM of 69968 and 69974.

LCM(69968,69974) = 2⁴ × 4373¹ × 59¹ × 593¹
LCM(69968,69974) = 2447970416