What is the Least Common Multiple of 69690 and 69708?

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 69690 and 69708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69690 and 69708, than apply into the LCM equation.

GCF(69690,69708) = 6
LCM(69690,69708) = ( 69690 × 69708) / 6
LCM(69690,69708) = 4857950520 / 6
LCM(69690,69708) = 809658420

Least Common Multiple (LCM) of 69690 and 69708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69690 and 69708. First we will calculate the prime factors of 69690 and 69708.

Prime Factorization of 69690

Prime Factorization of 69708

Now multiplying the highest exponent prime factors to calculate the LCM of 69690 and 69708.

LCM(69690,69708) = 2² × 3¹ × 5¹ × 23¹ × 101¹ × 37¹ × 157¹
LCM(69690,69708) = 809658420