What is the Least Common Multiple of 66965 and 66985?

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 66965 and 66985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66965 and 66985, than apply into the LCM equation.

GCF(66965,66985) = 5
LCM(66965,66985) = ( 66965 × 66985) / 5
LCM(66965,66985) = 4485650525 / 5
LCM(66965,66985) = 897130105

Least Common Multiple (LCM) of 66965 and 66985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66965 and 66985. First we will calculate the prime factors of 66965 and 66985.

Prime Factorization of 66965

Prime Factorization of 66985

Now multiplying the highest exponent prime factors to calculate the LCM of 66965 and 66985.

LCM(66965,66985) = 5¹ × 59¹ × 227¹ × 13397¹
LCM(66965,66985) = 897130105