What is the Least Common Multiple of 69888 and 69897?

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 69888 and 69897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69888 and 69897, than apply into the LCM equation.

GCF(69888,69897) = 3
LCM(69888,69897) = ( 69888 × 69897) / 3
LCM(69888,69897) = 4884961536 / 3
LCM(69888,69897) = 1628320512

Least Common Multiple (LCM) of 69888 and 69897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69888 and 69897. First we will calculate the prime factors of 69888 and 69897.

Prime Factorization of 69888

Prime Factorization of 69897

Now multiplying the highest exponent prime factors to calculate the LCM of 69888 and 69897.

LCM(69888,69897) = 2⁸ × 3¹ × 7¹ × 13¹ × 23¹ × 1013¹
LCM(69888,69897) = 1628320512