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What is the Least Common Multiple of 68930 and 68949?

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 68930 and 68949 is 4752654570.

LCM(68930,68949) = 4752654570

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Least Common Multiple of 68930 and 68949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68930 and 68949, than apply into the LCM equation.

GCF(68930,68949) = 1
LCM(68930,68949) = ( 68930 × 68949) / 1
LCM(68930,68949) = 4752654570 / 1
LCM(68930,68949) = 4752654570

Least Common Multiple (LCM) of 68930 and 68949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68930 and 68949. First we will calculate the prime factors of 68930 and 68949.

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

Prime Factorization of 68949

Prime factors of 68949 are 3, 47, 163. Prime factorization of 68949 in exponential form is:

68949 = 32 × 471 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 68930 and 68949.

LCM(68930,68949) = 21 × 51 × 611 × 1131 × 32 × 471 × 1631
LCM(68930,68949) = 4752654570