GCF and LCM Calculator Logo

What is the Least Common Multiple of 31150 and 31157?

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 31150 and 31157 is 138648650.

LCM(31150,31157) = 138648650

LCM Calculator and
and

Least Common Multiple of 31150 and 31157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31150 and 31157, than apply into the LCM equation.

GCF(31150,31157) = 7
LCM(31150,31157) = ( 31150 × 31157) / 7
LCM(31150,31157) = 970540550 / 7
LCM(31150,31157) = 138648650

Least Common Multiple (LCM) of 31150 and 31157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31150 and 31157. First we will calculate the prime factors of 31150 and 31157.

Prime Factorization of 31150

Prime factors of 31150 are 2, 5, 7, 89. Prime factorization of 31150 in exponential form is:

31150 = 21 × 52 × 71 × 891

Prime Factorization of 31157

Prime factors of 31157 are 7, 4451. Prime factorization of 31157 in exponential form is:

31157 = 71 × 44511

Now multiplying the highest exponent prime factors to calculate the LCM of 31150 and 31157.

LCM(31150,31157) = 21 × 52 × 71 × 891 × 44511
LCM(31150,31157) = 138648650