GCF and LCM Calculator Logo

What is the Least Common Multiple of 70867 and 70874?

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 70867 and 70874 is 5022627758.

LCM(70867,70874) = 5022627758

LCM Calculator and
and

Least Common Multiple of 70867 and 70874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70867 and 70874, than apply into the LCM equation.

GCF(70867,70874) = 1
LCM(70867,70874) = ( 70867 × 70874) / 1
LCM(70867,70874) = 5022627758 / 1
LCM(70867,70874) = 5022627758

Least Common Multiple (LCM) of 70867 and 70874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70867 and 70874. First we will calculate the prime factors of 70867 and 70874.

Prime Factorization of 70867

Prime factors of 70867 are 70867. Prime factorization of 70867 in exponential form is:

70867 = 708671

Prime Factorization of 70874

Prime factors of 70874 are 2, 35437. Prime factorization of 70874 in exponential form is:

70874 = 21 × 354371

Now multiplying the highest exponent prime factors to calculate the LCM of 70867 and 70874.

LCM(70867,70874) = 708671 × 21 × 354371
LCM(70867,70874) = 5022627758