What is the Least Common Multiple of 77110 and 77114?

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 77110 and 77114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77110 and 77114, than apply into the LCM equation.

GCF(77110,77114) = 2
LCM(77110,77114) = ( 77110 × 77114) / 2
LCM(77110,77114) = 5946260540 / 2
LCM(77110,77114) = 2973130270

Least Common Multiple (LCM) of 77110 and 77114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77110 and 77114. First we will calculate the prime factors of 77110 and 77114.

Prime Factorization of 77110

Prime Factorization of 77114

Now multiplying the highest exponent prime factors to calculate the LCM of 77110 and 77114.

LCM(77110,77114) = 2¹ × 5¹ × 11¹ × 701¹ × 38557¹
LCM(77110,77114) = 2973130270