What is the Least Common Multiple of 78070 and 78086?

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 78070 and 78086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78070 and 78086, than apply into the LCM equation.

GCF(78070,78086) = 2
LCM(78070,78086) = ( 78070 × 78086) / 2
LCM(78070,78086) = 6096174020 / 2
LCM(78070,78086) = 3048087010

Least Common Multiple (LCM) of 78070 and 78086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78070 and 78086. First we will calculate the prime factors of 78070 and 78086.

Prime Factorization of 78070

Prime Factorization of 78086

Now multiplying the highest exponent prime factors to calculate the LCM of 78070 and 78086.

LCM(78070,78086) = 2¹ × 5¹ × 37¹ × 211¹ × 39043¹
LCM(78070,78086) = 3048087010