GCF and LCM Calculator Logo

What is the Least Common Multiple of 87153 and 87167?

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 87153 and 87167 is 7596865551.

LCM(87153,87167) = 7596865551

LCM Calculator and
and

Least Common Multiple of 87153 and 87167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87153 and 87167, than apply into the LCM equation.

GCF(87153,87167) = 1
LCM(87153,87167) = ( 87153 × 87167) / 1
LCM(87153,87167) = 7596865551 / 1
LCM(87153,87167) = 7596865551

Least Common Multiple (LCM) of 87153 and 87167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87153 and 87167. First we will calculate the prime factors of 87153 and 87167.

Prime Factorization of 87153

Prime factors of 87153 are 3, 11, 19, 139. Prime factorization of 87153 in exponential form is:

87153 = 31 × 111 × 191 × 1391

Prime Factorization of 87167

Prime factors of 87167 are 67, 1301. Prime factorization of 87167 in exponential form is:

87167 = 671 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 87153 and 87167.

LCM(87153,87167) = 31 × 111 × 191 × 1391 × 671 × 13011
LCM(87153,87167) = 7596865551