What is the Least Common Multiple of 77690 and 77709?

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 77690 and 77709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77690 and 77709, than apply into the LCM equation.

GCF(77690,77709) = 1
LCM(77690,77709) = ( 77690 × 77709) / 1
LCM(77690,77709) = 6037212210 / 1
LCM(77690,77709) = 6037212210

Least Common Multiple (LCM) of 77690 and 77709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77690 and 77709. First we will calculate the prime factors of 77690 and 77709.

Prime Factorization of 77690

Prime Factorization of 77709

Now multiplying the highest exponent prime factors to calculate the LCM of 77690 and 77709.

LCM(77690,77709) = 2¹ × 5¹ × 17¹ × 457¹ × 3¹ × 25903¹
LCM(77690,77709) = 6037212210