What is the Least Common Multiple of 69950 and 69968?

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 69950 and 69968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69950 and 69968, than apply into the LCM equation.

GCF(69950,69968) = 2
LCM(69950,69968) = ( 69950 × 69968) / 2
LCM(69950,69968) = 4894261600 / 2
LCM(69950,69968) = 2447130800

Least Common Multiple (LCM) of 69950 and 69968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69950 and 69968. First we will calculate the prime factors of 69950 and 69968.

Prime Factorization of 69950

Prime Factorization of 69968

Now multiplying the highest exponent prime factors to calculate the LCM of 69950 and 69968.

LCM(69950,69968) = 2⁴ × 5² × 1399¹ × 4373¹
LCM(69950,69968) = 2447130800