What is the Least Common Multiple of 76690 and 76698?

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 76690 and 76698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76690 and 76698, than apply into the LCM equation.

GCF(76690,76698) = 2
LCM(76690,76698) = ( 76690 × 76698) / 2
LCM(76690,76698) = 5881969620 / 2
LCM(76690,76698) = 2940984810

Least Common Multiple (LCM) of 76690 and 76698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76690 and 76698. First we will calculate the prime factors of 76690 and 76698.

Prime Factorization of 76690

Prime Factorization of 76698

Now multiplying the highest exponent prime factors to calculate the LCM of 76690 and 76698.

LCM(76690,76698) = 2¹ × 5¹ × 7669¹ × 3² × 4261¹
LCM(76690,76698) = 2940984810