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What is the Least Common Multiple of 7220 and 7234?

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 7220 and 7234 is 26114740.

LCM(7220,7234) = 26114740

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Least Common Multiple of 7220 and 7234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7220 and 7234, than apply into the LCM equation.

GCF(7220,7234) = 2
LCM(7220,7234) = ( 7220 × 7234) / 2
LCM(7220,7234) = 52229480 / 2
LCM(7220,7234) = 26114740

Least Common Multiple (LCM) of 7220 and 7234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7220 and 7234. First we will calculate the prime factors of 7220 and 7234.

Prime Factorization of 7220

Prime factors of 7220 are 2, 5, 19. Prime factorization of 7220 in exponential form is:

7220 = 22 × 51 × 192

Prime Factorization of 7234

Prime factors of 7234 are 2, 3617. Prime factorization of 7234 in exponential form is:

7234 = 21 × 36171

Now multiplying the highest exponent prime factors to calculate the LCM of 7220 and 7234.

LCM(7220,7234) = 22 × 51 × 192 × 36171
LCM(7220,7234) = 26114740