What is the Least Common Multiple of 85953 and 85969?

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 85953 and 85969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85953 and 85969, than apply into the LCM equation.

GCF(85953,85969) = 1
LCM(85953,85969) = ( 85953 × 85969) / 1
LCM(85953,85969) = 7389293457 / 1
LCM(85953,85969) = 7389293457

Least Common Multiple (LCM) of 85953 and 85969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85953 and 85969. First we will calculate the prime factors of 85953 and 85969.

Prime Factorization of 85953

Prime Factorization of 85969

Now multiplying the highest exponent prime factors to calculate the LCM of 85953 and 85969.

LCM(85953,85969) = 3¹ × 7¹ × 4093¹ × 13¹ × 17¹ × 389¹
LCM(85953,85969) = 7389293457