What is the Least Common Multiple of 69974 and 69988?

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 69974 and 69988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69974 and 69988, than apply into the LCM equation.

GCF(69974,69988) = 2
LCM(69974,69988) = ( 69974 × 69988) / 2
LCM(69974,69988) = 4897340312 / 2
LCM(69974,69988) = 2448670156

Least Common Multiple (LCM) of 69974 and 69988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69974 and 69988. First we will calculate the prime factors of 69974 and 69988.

Prime Factorization of 69974

Prime Factorization of 69988

Now multiplying the highest exponent prime factors to calculate the LCM of 69974 and 69988.

LCM(69974,69988) = 2² × 59¹ × 593¹ × 17497¹
LCM(69974,69988) = 2448670156