What is the Least Common Multiple of 76930 and 76942?

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 76930 and 76942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76930 and 76942, than apply into the LCM equation.

GCF(76930,76942) = 2
LCM(76930,76942) = ( 76930 × 76942) / 2
LCM(76930,76942) = 5919148060 / 2
LCM(76930,76942) = 2959574030

Least Common Multiple (LCM) of 76930 and 76942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76930 and 76942. First we will calculate the prime factors of 76930 and 76942.

Prime Factorization of 76930

Prime Factorization of 76942

Now multiplying the highest exponent prime factors to calculate the LCM of 76930 and 76942.

LCM(76930,76942) = 2¹ × 5¹ × 7² × 157¹ × 17¹ × 31¹ × 73¹
LCM(76930,76942) = 2959574030