What is the Least Common Multiple of 68707 and 68727?
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 68707 and 68727 is 4722025989.
LCM(68707,68727) = 4722025989
Least Common Multiple of 68707 and 68727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68707 and 68727, than apply into the LCM equation.
GCF(68707,68727) = 1
LCM(68707,68727) = ( 68707 × 68727) / 1
LCM(68707,68727) = 4722025989 / 1
LCM(68707,68727) = 4722025989
Least Common Multiple (LCM) of 68707 and 68727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68707 and 68727. First we will calculate the prime factors of 68707 and 68727.
Prime Factorization of 68707
Prime factors of 68707 are 127, 541. Prime factorization of 68707 in exponential form is:
68707 = 1271 × 5411
Prime Factorization of 68727
Prime factors of 68727 are 3, 31, 739. Prime factorization of 68727 in exponential form is:
68727 = 31 × 311 × 7391
Now multiplying the highest exponent prime factors to calculate the LCM of 68707 and 68727.
LCM(68707,68727) = 1271 × 5411 × 31 × 311 × 7391
LCM(68707,68727) = 4722025989
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