What is the Least Common Multiple of 88930 and 88942?

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 88930 and 88942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88930 and 88942, than apply into the LCM equation.

GCF(88930,88942) = 2
LCM(88930,88942) = ( 88930 × 88942) / 2
LCM(88930,88942) = 7909612060 / 2
LCM(88930,88942) = 3954806030

Least Common Multiple (LCM) of 88930 and 88942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88930 and 88942. First we will calculate the prime factors of 88930 and 88942.

Prime Factorization of 88930

Prime Factorization of 88942

Now multiplying the highest exponent prime factors to calculate the LCM of 88930 and 88942.

LCM(88930,88942) = 2¹ × 5¹ × 8893¹ × 7¹ × 6353¹
LCM(88930,88942) = 3954806030