What is the Least Common Multiple of 62094 and 62102?
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 62094 and 62102 is 1928080794.
LCM(62094,62102) = 1928080794
Least Common Multiple of 62094 and 62102 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62094 and 62102, than apply into the LCM equation.
GCF(62094,62102) = 2
LCM(62094,62102) = ( 62094 × 62102) / 2
LCM(62094,62102) = 3856161588 / 2
LCM(62094,62102) = 1928080794
Least Common Multiple (LCM) of 62094 and 62102 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62094 and 62102. First we will calculate the prime factors of 62094 and 62102.
Prime Factorization of 62094
Prime factors of 62094 are 2, 3, 79, 131. Prime factorization of 62094 in exponential form is:
62094 = 21 × 31 × 791 × 1311
Prime Factorization of 62102
Prime factors of 62102 are 2, 31051. Prime factorization of 62102 in exponential form is:
62102 = 21 × 310511
Now multiplying the highest exponent prime factors to calculate the LCM of 62094 and 62102.
LCM(62094,62102) = 21 × 31 × 791 × 1311 × 310511
LCM(62094,62102) = 1928080794
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