GCF and LCM Calculator Logo

What is the Least Common Multiple of 68953 and 68965?

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 (LCM) of 68953 and 68965 is 4755343645.

LCM(68953,68965) = 4755343645

LCM Calculator and
and

Least Common Multiple of 68953 and 68965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68953 and 68965, than apply into the LCM equation.

GCF(68953,68965) = 1
LCM(68953,68965) = ( 68953 × 68965) / 1
LCM(68953,68965) = 4755343645 / 1
LCM(68953,68965) = 4755343645

Least Common Multiple (LCM) of 68953 and 68965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68953 and 68965. First we will calculate the prime factors of 68953 and 68965.

Prime Factorization of 68953

Prime factors of 68953 are 53, 1301. Prime factorization of 68953 in exponential form is:

68953 = 531 × 13011

Prime Factorization of 68965

Prime factors of 68965 are 5, 13, 1061. Prime factorization of 68965 in exponential form is:

68965 = 51 × 131 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 68953 and 68965.

LCM(68953,68965) = 531 × 13011 × 51 × 131 × 10611
LCM(68953,68965) = 4755343645