What is the Least Common Multiple of 62062 and 62066?
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 62062 and 62066 is 1925970046.
LCM(62062,62066) = 1925970046
Least Common Multiple of 62062 and 62066 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62062 and 62066, than apply into the LCM equation.
GCF(62062,62066) = 2
LCM(62062,62066) = ( 62062 × 62066) / 2
LCM(62062,62066) = 3851940092 / 2
LCM(62062,62066) = 1925970046
Least Common Multiple (LCM) of 62062 and 62066 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62062 and 62066. First we will calculate the prime factors of 62062 and 62066.
Prime Factorization of 62062
Prime factors of 62062 are 2, 7, 11, 13, 31. Prime factorization of 62062 in exponential form is:
62062 = 21 × 71 × 111 × 131 × 311
Prime Factorization of 62066
Prime factors of 62066 are 2, 31033. Prime factorization of 62066 in exponential form is:
62066 = 21 × 310331
Now multiplying the highest exponent prime factors to calculate the LCM of 62062 and 62066.
LCM(62062,62066) = 21 × 71 × 111 × 131 × 311 × 310331
LCM(62062,62066) = 1925970046
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