What is the Least Common Multiple of 65202 and 65206?
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 65202 and 65206 is 2125780806.
LCM(65202,65206) = 2125780806
Least Common Multiple of 65202 and 65206 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65202 and 65206, than apply into the LCM equation.
GCF(65202,65206) = 2
LCM(65202,65206) = ( 65202 × 65206) / 2
LCM(65202,65206) = 4251561612 / 2
LCM(65202,65206) = 2125780806
Least Common Multiple (LCM) of 65202 and 65206 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65202 and 65206. First we will calculate the prime factors of 65202 and 65206.
Prime Factorization of 65202
Prime factors of 65202 are 2, 3, 10867. Prime factorization of 65202 in exponential form is:
65202 = 21 × 31 × 108671
Prime Factorization of 65206
Prime factors of 65206 are 2, 32603. Prime factorization of 65206 in exponential form is:
65206 = 21 × 326031
Now multiplying the highest exponent prime factors to calculate the LCM of 65202 and 65206.
LCM(65202,65206) = 21 × 31 × 108671 × 326031
LCM(65202,65206) = 2125780806
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