What is the Least Common Multiple of 66202 and 66211?
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 66202 and 66211 is 4383300622.
LCM(66202,66211) = 4383300622
Least Common Multiple of 66202 and 66211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66202 and 66211, than apply into the LCM equation.
GCF(66202,66211) = 1
LCM(66202,66211) = ( 66202 × 66211) / 1
LCM(66202,66211) = 4383300622 / 1
LCM(66202,66211) = 4383300622
Least Common Multiple (LCM) of 66202 and 66211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66202 and 66211. First we will calculate the prime factors of 66202 and 66211.
Prime Factorization of 66202
Prime factors of 66202 are 2, 79, 419. Prime factorization of 66202 in exponential form is:
66202 = 21 × 791 × 4191
Prime Factorization of 66211
Prime factors of 66211 are 73, 907. Prime factorization of 66211 in exponential form is:
66211 = 731 × 9071
Now multiplying the highest exponent prime factors to calculate the LCM of 66202 and 66211.
LCM(66202,66211) = 21 × 791 × 4191 × 731 × 9071
LCM(66202,66211) = 4383300622
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