What is the Least Common Multiple of 62202 and 62207?
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 62202 and 62207 is 3869399814.
LCM(62202,62207) = 3869399814
Least Common Multiple of 62202 and 62207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62202 and 62207, than apply into the LCM equation.
GCF(62202,62207) = 1
LCM(62202,62207) = ( 62202 × 62207) / 1
LCM(62202,62207) = 3869399814 / 1
LCM(62202,62207) = 3869399814
Least Common Multiple (LCM) of 62202 and 62207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62202 and 62207. First we will calculate the prime factors of 62202 and 62207.
Prime Factorization of 62202
Prime factors of 62202 are 2, 3, 7, 1481. Prime factorization of 62202 in exponential form is:
62202 = 21 × 31 × 71 × 14811
Prime Factorization of 62207
Prime factors of 62207 are 62207. Prime factorization of 62207 in exponential form is:
62207 = 622071
Now multiplying the highest exponent prime factors to calculate the LCM of 62202 and 62207.
LCM(62202,62207) = 21 × 31 × 71 × 14811 × 622071
LCM(62202,62207) = 3869399814
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