What is the Least Common Multiple of 76102 and 76114?

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 76102 and 76114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76102 and 76114, than apply into the LCM equation.

GCF(76102,76114) = 2
LCM(76102,76114) = ( 76102 × 76114) / 2
LCM(76102,76114) = 5792427628 / 2
LCM(76102,76114) = 2896213814

Least Common Multiple (LCM) of 76102 and 76114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76102 and 76114. First we will calculate the prime factors of 76102 and 76114.

Prime Factorization of 76102

Prime Factorization of 76114

Now multiplying the highest exponent prime factors to calculate the LCM of 76102 and 76114.

LCM(76102,76114) = 2¹ × 13¹ × 2927¹ × 19¹ × 2003¹
LCM(76102,76114) = 2896213814