What is the Least Common Multiple of 60206 and 60213?
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 60206 and 60213 is 3625183878.
LCM(60206,60213) = 3625183878
Least Common Multiple of 60206 and 60213 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60206 and 60213, than apply into the LCM equation.
GCF(60206,60213) = 1
LCM(60206,60213) = ( 60206 × 60213) / 1
LCM(60206,60213) = 3625183878 / 1
LCM(60206,60213) = 3625183878
Least Common Multiple (LCM) of 60206 and 60213 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60206 and 60213. First we will calculate the prime factors of 60206 and 60213.
Prime Factorization of 60206
Prime factors of 60206 are 2, 30103. Prime factorization of 60206 in exponential form is:
60206 = 21 × 301031
Prime Factorization of 60213
Prime factors of 60213 are 3, 20071. Prime factorization of 60213 in exponential form is:
60213 = 31 × 200711
Now multiplying the highest exponent prime factors to calculate the LCM of 60206 and 60213.
LCM(60206,60213) = 21 × 301031 × 31 × 200711
LCM(60206,60213) = 3625183878
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