What is the Least Common Multiple of 6211 and 6218?
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 6211 and 6218 is 38619998.
LCM(6211,6218) = 38619998
Least Common Multiple of 6211 and 6218 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6211 and 6218, than apply into the LCM equation.
GCF(6211,6218) = 1
LCM(6211,6218) = ( 6211 × 6218) / 1
LCM(6211,6218) = 38619998 / 1
LCM(6211,6218) = 38619998
Least Common Multiple (LCM) of 6211 and 6218 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6211 and 6218. First we will calculate the prime factors of 6211 and 6218.
Prime Factorization of 6211
Prime factors of 6211 are 6211. Prime factorization of 6211 in exponential form is:
6211 = 62111
Prime Factorization of 6218
Prime factors of 6218 are 2, 3109. Prime factorization of 6218 in exponential form is:
6218 = 21 × 31091
Now multiplying the highest exponent prime factors to calculate the LCM of 6211 and 6218.
LCM(6211,6218) = 62111 × 21 × 31091
LCM(6211,6218) = 38619998
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