What is the Least Common Multiple of 89102 and 89114?

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 of 89102 and 89114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89102 and 89114, than apply into the LCM equation.

GCF(89102,89114) = 2
LCM(89102,89114) = ( 89102 × 89114) / 2
LCM(89102,89114) = 7940235628 / 2
LCM(89102,89114) = 3970117814

Least Common Multiple (LCM) of 89102 and 89114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89102 and 89114. First we will calculate the prime factors of 89102 and 89114.

Prime Factorization of 89102

Prime Factorization of 89114

Now multiplying the highest exponent prime factors to calculate the LCM of 89102 and 89114.

LCM(89102,89114) = 2¹ × 13¹ × 23¹ × 149¹ × 17¹ × 2621¹
LCM(89102,89114) = 3970117814