What is the Least Common Multiple of 67607 and 67616?
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 67607 and 67616 is 4571314912.
LCM(67607,67616) = 4571314912
Least Common Multiple of 67607 and 67616 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67607 and 67616, than apply into the LCM equation.
GCF(67607,67616) = 1
LCM(67607,67616) = ( 67607 × 67616) / 1
LCM(67607,67616) = 4571314912 / 1
LCM(67607,67616) = 4571314912
Least Common Multiple (LCM) of 67607 and 67616 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67607 and 67616. First we will calculate the prime factors of 67607 and 67616.
Prime Factorization of 67607
Prime factors of 67607 are 67607. Prime factorization of 67607 in exponential form is:
67607 = 676071
Prime Factorization of 67616
Prime factors of 67616 are 2, 2113. Prime factorization of 67616 in exponential form is:
67616 = 25 × 21131
Now multiplying the highest exponent prime factors to calculate the LCM of 67607 and 67616.
LCM(67607,67616) = 676071 × 25 × 21131
LCM(67607,67616) = 4571314912
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