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What is the Least Common Multiple of 68970 and 68980?

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 68970 and 68980 is 475755060.

LCM(68970,68980) = 475755060

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Least Common Multiple of 68970 and 68980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68970 and 68980, than apply into the LCM equation.

GCF(68970,68980) = 10
LCM(68970,68980) = ( 68970 × 68980) / 10
LCM(68970,68980) = 4757550600 / 10
LCM(68970,68980) = 475755060

Least Common Multiple (LCM) of 68970 and 68980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68970 and 68980. First we will calculate the prime factors of 68970 and 68980.

Prime Factorization of 68970

Prime factors of 68970 are 2, 3, 5, 11, 19. Prime factorization of 68970 in exponential form is:

68970 = 21 × 31 × 51 × 112 × 191

Prime Factorization of 68980

Prime factors of 68980 are 2, 5, 3449. Prime factorization of 68980 in exponential form is:

68980 = 22 × 51 × 34491

Now multiplying the highest exponent prime factors to calculate the LCM of 68970 and 68980.

LCM(68970,68980) = 22 × 31 × 51 × 112 × 191 × 34491
LCM(68970,68980) = 475755060