GCF and LCM Calculator Logo

What is the Least Common Multiple of 87079 and 87094?

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 (LCM) of 87079 and 87094 is 7584058426.

LCM(87079,87094) = 7584058426

LCM Calculator and
and

Least Common Multiple of 87079 and 87094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87079 and 87094, than apply into the LCM equation.

GCF(87079,87094) = 1
LCM(87079,87094) = ( 87079 × 87094) / 1
LCM(87079,87094) = 7584058426 / 1
LCM(87079,87094) = 7584058426

Least Common Multiple (LCM) of 87079 and 87094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87079 and 87094. First we will calculate the prime factors of 87079 and 87094.

Prime Factorization of 87079

Prime factors of 87079 are 31, 53. Prime factorization of 87079 in exponential form is:

87079 = 311 × 532

Prime Factorization of 87094

Prime factors of 87094 are 2, 7, 6221. Prime factorization of 87094 in exponential form is:

87094 = 21 × 71 × 62211

Now multiplying the highest exponent prime factors to calculate the LCM of 87079 and 87094.

LCM(87079,87094) = 311 × 532 × 21 × 71 × 62211
LCM(87079,87094) = 7584058426