What is the Least Common Multiple of 88048 and 88060?

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 88048 and 88060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88048 and 88060, than apply into the LCM equation.

GCF(88048,88060) = 4
LCM(88048,88060) = ( 88048 × 88060) / 4
LCM(88048,88060) = 7753506880 / 4
LCM(88048,88060) = 1938376720

Least Common Multiple (LCM) of 88048 and 88060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88048 and 88060. First we will calculate the prime factors of 88048 and 88060.

Prime Factorization of 88048

Prime Factorization of 88060

Now multiplying the highest exponent prime factors to calculate the LCM of 88048 and 88060.

LCM(88048,88060) = 2⁴ × 5503¹ × 5¹ × 7¹ × 17¹ × 37¹
LCM(88048,88060) = 1938376720