What is the Least Common Multiple of 77970 and 77985?

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 77970 and 77985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77970 and 77985, than apply into the LCM equation.

GCF(77970,77985) = 15
LCM(77970,77985) = ( 77970 × 77985) / 15
LCM(77970,77985) = 6080490450 / 15
LCM(77970,77985) = 405366030

Least Common Multiple (LCM) of 77970 and 77985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77970 and 77985. First we will calculate the prime factors of 77970 and 77985.

Prime Factorization of 77970

Prime Factorization of 77985

Now multiplying the highest exponent prime factors to calculate the LCM of 77970 and 77985.

LCM(77970,77985) = 2¹ × 3² × 5¹ × 23¹ × 113¹ × 1733¹
LCM(77970,77985) = 405366030