What is the Least Common Multiple of 77102 and 77109?

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 77102 and 77109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77102 and 77109, than apply into the LCM equation.

GCF(77102,77109) = 1
LCM(77102,77109) = ( 77102 × 77109) / 1
LCM(77102,77109) = 5945258118 / 1
LCM(77102,77109) = 5945258118

Least Common Multiple (LCM) of 77102 and 77109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77102 and 77109. First we will calculate the prime factors of 77102 and 77109.

Prime Factorization of 77102

Prime Factorization of 77109

Now multiplying the highest exponent prime factors to calculate the LCM of 77102 and 77109.

LCM(77102,77109) = 2¹ × 19¹ × 2029¹ × 3¹ × 25703¹
LCM(77102,77109) = 5945258118