What is the Least Common Multiple of 53250 and 53262?
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 53250 and 53262 is 472700250.
LCM(53250,53262) = 472700250
Least Common Multiple of 53250 and 53262 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53250 and 53262, than apply into the LCM equation.
GCF(53250,53262) = 6
LCM(53250,53262) = ( 53250 × 53262) / 6
LCM(53250,53262) = 2836201500 / 6
LCM(53250,53262) = 472700250
Least Common Multiple (LCM) of 53250 and 53262 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53250 and 53262. First we will calculate the prime factors of 53250 and 53262.
Prime Factorization of 53250
Prime factors of 53250 are 2, 3, 5, 71. Prime factorization of 53250 in exponential form is:
53250 = 21 × 31 × 53 × 711
Prime Factorization of 53262
Prime factors of 53262 are 2, 3, 11, 269. Prime factorization of 53262 in exponential form is:
53262 = 21 × 32 × 111 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 53250 and 53262.
LCM(53250,53262) = 21 × 32 × 53 × 711 × 111 × 2691
LCM(53250,53262) = 472700250
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