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What is the Least Common Multiple of 68920 and 68930?

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 68920 and 68930 is 475065560.

LCM(68920,68930) = 475065560

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Least Common Multiple of 68920 and 68930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68920 and 68930, than apply into the LCM equation.

GCF(68920,68930) = 10
LCM(68920,68930) = ( 68920 × 68930) / 10
LCM(68920,68930) = 4750655600 / 10
LCM(68920,68930) = 475065560

Least Common Multiple (LCM) of 68920 and 68930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68920 and 68930. First we will calculate the prime factors of 68920 and 68930.

Prime Factorization of 68920

Prime factors of 68920 are 2, 5, 1723. Prime factorization of 68920 in exponential form is:

68920 = 23 × 51 × 17231

Prime Factorization of 68930

Prime factors of 68930 are 2, 5, 61, 113. Prime factorization of 68930 in exponential form is:

68930 = 21 × 51 × 611 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 68920 and 68930.

LCM(68920,68930) = 23 × 51 × 17231 × 611 × 1131
LCM(68920,68930) = 475065560