What is the Least Common Multiple of 68642 and 68650?
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 68642 and 68650 is 2356136650.
LCM(68642,68650) = 2356136650
Least Common Multiple of 68642 and 68650 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68642 and 68650, than apply into the LCM equation.
GCF(68642,68650) = 2
LCM(68642,68650) = ( 68642 × 68650) / 2
LCM(68642,68650) = 4712273300 / 2
LCM(68642,68650) = 2356136650
Least Common Multiple (LCM) of 68642 and 68650 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68642 and 68650. First we will calculate the prime factors of 68642 and 68650.
Prime Factorization of 68642
Prime factors of 68642 are 2, 7, 4903. Prime factorization of 68642 in exponential form is:
68642 = 21 × 71 × 49031
Prime Factorization of 68650
Prime factors of 68650 are 2, 5, 1373. Prime factorization of 68650 in exponential form is:
68650 = 21 × 52 × 13731
Now multiplying the highest exponent prime factors to calculate the LCM of 68642 and 68650.
LCM(68642,68650) = 21 × 71 × 49031 × 52 × 13731
LCM(68642,68650) = 2356136650
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