What is the Least Common Multiple of 53190 and 53202?
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 53190 and 53202 is 471635730.
LCM(53190,53202) = 471635730
Least Common Multiple of 53190 and 53202 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53190 and 53202, than apply into the LCM equation.
GCF(53190,53202) = 6
LCM(53190,53202) = ( 53190 × 53202) / 6
LCM(53190,53202) = 2829814380 / 6
LCM(53190,53202) = 471635730
Least Common Multiple (LCM) of 53190 and 53202 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53190 and 53202. First we will calculate the prime factors of 53190 and 53202.
Prime Factorization of 53190
Prime factors of 53190 are 2, 3, 5, 197. Prime factorization of 53190 in exponential form is:
53190 = 21 × 33 × 51 × 1971
Prime Factorization of 53202
Prime factors of 53202 are 2, 3, 8867. Prime factorization of 53202 in exponential form is:
53202 = 21 × 31 × 88671
Now multiplying the highest exponent prime factors to calculate the LCM of 53190 and 53202.
LCM(53190,53202) = 21 × 33 × 51 × 1971 × 88671
LCM(53190,53202) = 471635730
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