GCF and LCM Calculator Logo

What is the Least Common Multiple of 92989 and 93002?

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 92989 and 93002 is 665243306.

LCM(92989,93002) = 665243306

LCM Calculator and
and

Least Common Multiple of 92989 and 93002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92989 and 93002, than apply into the LCM equation.

GCF(92989,93002) = 13
LCM(92989,93002) = ( 92989 × 93002) / 13
LCM(92989,93002) = 8648162978 / 13
LCM(92989,93002) = 665243306

Least Common Multiple (LCM) of 92989 and 93002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92989 and 93002. First we will calculate the prime factors of 92989 and 93002.

Prime Factorization of 92989

Prime factors of 92989 are 13, 23, 311. Prime factorization of 92989 in exponential form is:

92989 = 131 × 231 × 3111

Prime Factorization of 93002

Prime factors of 93002 are 2, 7, 13, 73. Prime factorization of 93002 in exponential form is:

93002 = 21 × 72 × 131 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 92989 and 93002.

LCM(92989,93002) = 131 × 231 × 3111 × 21 × 72 × 731
LCM(92989,93002) = 665243306