What is the Least Common Multiple of 60903 and 60920?
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 60903 and 60920 is 3710210760.
LCM(60903,60920) = 3710210760
Least Common Multiple of 60903 and 60920 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60903 and 60920, than apply into the LCM equation.
GCF(60903,60920) = 1
LCM(60903,60920) = ( 60903 × 60920) / 1
LCM(60903,60920) = 3710210760 / 1
LCM(60903,60920) = 3710210760
Least Common Multiple (LCM) of 60903 and 60920 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60903 and 60920. First we will calculate the prime factors of 60903 and 60920.
Prime Factorization of 60903
Prime factors of 60903 are 3, 67, 101. Prime factorization of 60903 in exponential form is:
60903 = 32 × 671 × 1011
Prime Factorization of 60920
Prime factors of 60920 are 2, 5, 1523. Prime factorization of 60920 in exponential form is:
60920 = 23 × 51 × 15231
Now multiplying the highest exponent prime factors to calculate the LCM of 60903 and 60920.
LCM(60903,60920) = 32 × 671 × 1011 × 23 × 51 × 15231
LCM(60903,60920) = 3710210760
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