What is the Least Common Multiple of 68755 and 68766?
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 68755 and 68766 is 4728006330.
LCM(68755,68766) = 4728006330
Least Common Multiple of 68755 and 68766 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68755 and 68766, than apply into the LCM equation.
GCF(68755,68766) = 1
LCM(68755,68766) = ( 68755 × 68766) / 1
LCM(68755,68766) = 4728006330 / 1
LCM(68755,68766) = 4728006330
Least Common Multiple (LCM) of 68755 and 68766 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68755 and 68766. First we will calculate the prime factors of 68755 and 68766.
Prime Factorization of 68755
Prime factors of 68755 are 5, 13751. Prime factorization of 68755 in exponential form is:
68755 = 51 × 137511
Prime Factorization of 68766
Prime factors of 68766 are 2, 3, 73, 157. Prime factorization of 68766 in exponential form is:
68766 = 21 × 31 × 731 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 68755 and 68766.
LCM(68755,68766) = 51 × 137511 × 21 × 31 × 731 × 1571
LCM(68755,68766) = 4728006330
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