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What is the Least Common Multiple of 67972 and 67990?

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 67990 is 2310708140.

LCM(67972,67990) = 2310708140

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Least Common Multiple of 67972 and 67990 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 67990, than apply into the LCM equation.

GCF(67972,67990) = 2
LCM(67972,67990) = ( 67972 × 67990) / 2
LCM(67972,67990) = 4621416280 / 2
LCM(67972,67990) = 2310708140

Least Common Multiple (LCM) of 67972 and 67990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67972 and 67990. First we will calculate the prime factors of 67972 and 67990.

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 67990

Prime factors of 67990 are 2, 5, 13, 523. Prime factorization of 67990 in exponential form is:

67990 = 21 × 51 × 131 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 67972 and 67990.

LCM(67972,67990) = 22 × 169931 × 51 × 131 × 5231
LCM(67972,67990) = 2310708140