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What is the Least Common Multiple of 67954 and 67972?

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 67954 and 67972 is 2309484644.

LCM(67954,67972) = 2309484644

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Least Common Multiple of 67954 and 67972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67954 and 67972, than apply into the LCM equation.

GCF(67954,67972) = 2
LCM(67954,67972) = ( 67954 × 67972) / 2
LCM(67954,67972) = 4618969288 / 2
LCM(67954,67972) = 2309484644

Least Common Multiple (LCM) of 67954 and 67972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67954 and 67972. First we will calculate the prime factors of 67954 and 67972.

Prime Factorization of 67954

Prime factors of 67954 are 2, 61, 557. Prime factorization of 67954 in exponential form is:

67954 = 21 × 611 × 5571

Prime Factorization of 67972

Prime factors of 67972 are 2, 16993. Prime factorization of 67972 in exponential form is:

67972 = 22 × 169931

Now multiplying the highest exponent prime factors to calculate the LCM of 67954 and 67972.

LCM(67954,67972) = 22 × 611 × 5571 × 169931
LCM(67954,67972) = 2309484644