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What is the Least Common Multiple of 67945 and 67962?

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 67945 and 67962 is 4617678090.

LCM(67945,67962) = 4617678090

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Least Common Multiple of 67945 and 67962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67945 and 67962, than apply into the LCM equation.

GCF(67945,67962) = 1
LCM(67945,67962) = ( 67945 × 67962) / 1
LCM(67945,67962) = 4617678090 / 1
LCM(67945,67962) = 4617678090

Least Common Multiple (LCM) of 67945 and 67962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67945 and 67962. First we will calculate the prime factors of 67945 and 67962.

Prime Factorization of 67945

Prime factors of 67945 are 5, 107, 127. Prime factorization of 67945 in exponential form is:

67945 = 51 × 1071 × 1271

Prime Factorization of 67962

Prime factors of 67962 are 2, 3, 47, 241. Prime factorization of 67962 in exponential form is:

67962 = 21 × 31 × 471 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 67945 and 67962.

LCM(67945,67962) = 51 × 1071 × 1271 × 21 × 31 × 471 × 2411
LCM(67945,67962) = 4617678090