What is the Least Common Multiple of 69978 and 69998?

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 69978 and 69998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69978 and 69998, than apply into the LCM equation.

GCF(69978,69998) = 2
LCM(69978,69998) = ( 69978 × 69998) / 2
LCM(69978,69998) = 4898320044 / 2
LCM(69978,69998) = 2449160022

Least Common Multiple (LCM) of 69978 and 69998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69978 and 69998. First we will calculate the prime factors of 69978 and 69998.

Prime Factorization of 69978

Prime Factorization of 69998

Now multiplying the highest exponent prime factors to calculate the LCM of 69978 and 69998.

LCM(69978,69998) = 2¹ × 3¹ × 107¹ × 109¹ × 31¹ × 1129¹
LCM(69978,69998) = 2449160022