What is the Least Common Multiple of 60932 and 60950?
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 60932 and 60950 is 1856902700.
LCM(60932,60950) = 1856902700
Least Common Multiple of 60932 and 60950 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60932 and 60950, than apply into the LCM equation.
GCF(60932,60950) = 2
LCM(60932,60950) = ( 60932 × 60950) / 2
LCM(60932,60950) = 3713805400 / 2
LCM(60932,60950) = 1856902700
Least Common Multiple (LCM) of 60932 and 60950 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60932 and 60950. First we will calculate the prime factors of 60932 and 60950.
Prime Factorization of 60932
Prime factors of 60932 are 2, 15233. Prime factorization of 60932 in exponential form is:
60932 = 22 × 152331
Prime Factorization of 60950
Prime factors of 60950 are 2, 5, 23, 53. Prime factorization of 60950 in exponential form is:
60950 = 21 × 52 × 231 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 60932 and 60950.
LCM(60932,60950) = 22 × 152331 × 52 × 231 × 531
LCM(60932,60950) = 1856902700
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