What is the Least Common Multiple of 68695 and 68713?
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 68695 and 68713 is 4720239535.
LCM(68695,68713) = 4720239535
Least Common Multiple of 68695 and 68713 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68695 and 68713, than apply into the LCM equation.
GCF(68695,68713) = 1
LCM(68695,68713) = ( 68695 × 68713) / 1
LCM(68695,68713) = 4720239535 / 1
LCM(68695,68713) = 4720239535
Least Common Multiple (LCM) of 68695 and 68713 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68695 and 68713. First we will calculate the prime factors of 68695 and 68713.
Prime Factorization of 68695
Prime factors of 68695 are 5, 11, 1249. Prime factorization of 68695 in exponential form is:
68695 = 51 × 111 × 12491
Prime Factorization of 68713
Prime factors of 68713 are 68713. Prime factorization of 68713 in exponential form is:
68713 = 687131
Now multiplying the highest exponent prime factors to calculate the LCM of 68695 and 68713.
LCM(68695,68713) = 51 × 111 × 12491 × 687131
LCM(68695,68713) = 4720239535
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