What is the Least Common Multiple of 62118 and 62137?
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 62118 and 62137 is 3859826166.
LCM(62118,62137) = 3859826166
Least Common Multiple of 62118 and 62137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62118 and 62137, than apply into the LCM equation.
GCF(62118,62137) = 1
LCM(62118,62137) = ( 62118 × 62137) / 1
LCM(62118,62137) = 3859826166 / 1
LCM(62118,62137) = 3859826166
Least Common Multiple (LCM) of 62118 and 62137 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62118 and 62137. First we will calculate the prime factors of 62118 and 62137.
Prime Factorization of 62118
Prime factors of 62118 are 2, 3, 7, 17, 29. Prime factorization of 62118 in exponential form is:
62118 = 21 × 32 × 71 × 171 × 291
Prime Factorization of 62137
Prime factors of 62137 are 62137. Prime factorization of 62137 in exponential form is:
62137 = 621371
Now multiplying the highest exponent prime factors to calculate the LCM of 62118 and 62137.
LCM(62118,62137) = 21 × 32 × 71 × 171 × 291 × 621371
LCM(62118,62137) = 3859826166
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