What is the Least Common Multiple of 69870 and 69888?

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 69870 and 69888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69870 and 69888, than apply into the LCM equation.

GCF(69870,69888) = 6
LCM(69870,69888) = ( 69870 × 69888) / 6
LCM(69870,69888) = 4883074560 / 6
LCM(69870,69888) = 813845760

Least Common Multiple (LCM) of 69870 and 69888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69870 and 69888. First we will calculate the prime factors of 69870 and 69888.

Prime Factorization of 69870

Prime Factorization of 69888

Now multiplying the highest exponent prime factors to calculate the LCM of 69870 and 69888.

LCM(69870,69888) = 2⁸ × 3¹ × 5¹ × 17¹ × 137¹ × 7¹ × 13¹
LCM(69870,69888) = 813845760