What is the Least Common Multiple of 88038 and 88048?

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 88038 and 88048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88038 and 88048, than apply into the LCM equation.

GCF(88038,88048) = 2
LCM(88038,88048) = ( 88038 × 88048) / 2
LCM(88038,88048) = 7751569824 / 2
LCM(88038,88048) = 3875784912

Least Common Multiple (LCM) of 88038 and 88048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88038 and 88048. First we will calculate the prime factors of 88038 and 88048.

Prime Factorization of 88038

Prime Factorization of 88048

Now multiplying the highest exponent prime factors to calculate the LCM of 88038 and 88048.

LCM(88038,88048) = 2⁴ × 3² × 67¹ × 73¹ × 5503¹
LCM(88038,88048) = 3875784912