What is the Least Common Multiple of 94038 and 94046?

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 94038 and 94046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94038 and 94046, than apply into the LCM equation.

GCF(94038,94046) = 2
LCM(94038,94046) = ( 94038 × 94046) / 2
LCM(94038,94046) = 8843897748 / 2
LCM(94038,94046) = 4421948874

Least Common Multiple (LCM) of 94038 and 94046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94038 and 94046. First we will calculate the prime factors of 94038 and 94046.

Prime Factorization of 94038

Prime Factorization of 94046

Now multiplying the highest exponent prime factors to calculate the LCM of 94038 and 94046.

LCM(94038,94046) = 2¹ × 3¹ × 7¹ × 2239¹ × 59¹ × 797¹
LCM(94038,94046) = 4421948874