GCF and LCM Calculator Logo

What is the Least Common Multiple of 68974 and 68983?

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 68974 and 68983 is 4758033442.

LCM(68974,68983) = 4758033442

LCM Calculator and
and

Least Common Multiple of 68974 and 68983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68974 and 68983, than apply into the LCM equation.

GCF(68974,68983) = 1
LCM(68974,68983) = ( 68974 × 68983) / 1
LCM(68974,68983) = 4758033442 / 1
LCM(68974,68983) = 4758033442

Least Common Multiple (LCM) of 68974 and 68983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68974 and 68983. First we will calculate the prime factors of 68974 and 68983.

Prime Factorization of 68974

Prime factors of 68974 are 2, 34487. Prime factorization of 68974 in exponential form is:

68974 = 21 × 344871

Prime Factorization of 68983

Prime factors of 68983 are 101, 683. Prime factorization of 68983 in exponential form is:

68983 = 1011 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 68974 and 68983.

LCM(68974,68983) = 21 × 344871 × 1011 × 6831
LCM(68974,68983) = 4758033442