What is the Least Common Multiple of 77690 and 77710?

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 77710 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 77710, than apply into the LCM equation.

GCF(77690,77710) = 10
LCM(77690,77710) = ( 77690 × 77710) / 10
LCM(77690,77710) = 6037289900 / 10
LCM(77690,77710) = 603728990

Least Common Multiple (LCM) of 77690 and 77710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77690 and 77710. First we will calculate the prime factors of 77690 and 77710.

Prime Factorization of 77690

Prime Factorization of 77710

Now multiplying the highest exponent prime factors to calculate the LCM of 77690 and 77710.

LCM(77690,77710) = 2¹ × 5¹ × 17¹ × 457¹ × 19¹ × 409¹
LCM(77690,77710) = 603728990