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What is the Least Common Multiple of 67972 and 67986?

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 67972 and 67986 is 2310572196.

LCM(67972,67986) = 2310572196

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Least Common Multiple of 67972 and 67986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67972 and 67986, than apply into the LCM equation.

GCF(67972,67986) = 2
LCM(67972,67986) = ( 67972 × 67986) / 2
LCM(67972,67986) = 4621144392 / 2
LCM(67972,67986) = 2310572196

Least Common Multiple (LCM) of 67972 and 67986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67972 and 67986. First we will calculate the prime factors of 67972 and 67986.

Prime Factorization of 67972

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

67972 = 22 × 169931

Prime Factorization of 67986

Prime factors of 67986 are 2, 3, 1259. Prime factorization of 67986 in exponential form is:

67986 = 21 × 33 × 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 67972 and 67986.

LCM(67972,67986) = 22 × 169931 × 33 × 12591
LCM(67972,67986) = 2310572196